76 
u the corresponding rational angle, whilst @, and wu, relate to the 
perpendicular-rational out of MM. 
For the rational area of a logarithmic circle sector we find: 
Ne 
Pv (oydlu = (0), 
U, 
Uo 
The rational, i.e. the multiplical over an infinitesimal sector of a 
logarithmic circle is therefore: 
2 (yt. 
Applied to the triangle M, P,, P, mentioned in $ 28 we find that 
multiplical integration furnishes, when P,, P,, P, is a right line: 
vo.) tr u, =*(0,), (ws | Ie '@ 103- 
$ 29. Fig. 11 can give us a good idea of two equal skew ratios. 
If P, and P, are points of a rational, we then find two points with 
equal rationai distance on an equidistant rational by transferring 
successively the abscissae and ordinates or reversely. So here is 
7, Yi tg SH 8 Yas 
Fig. 11: 
which two proportions are summarized in: 
Py P= Pare 
The rectangles having P, P, and P, P, as diagonals, are congruent 
now in a rational sense. -With a view to the above mentioned 
proportions the rational sides are equal and likewise as immediate 
consequence, the rational areae: 
Ee Dr a 
mee Ma 
Ei a es dn 
By means of proportional translation we can always construct 
